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 1
 Homework Statement:

I only need help with how to find the component of gravity along the curve.
Here is the problem statement:
A frictionless surface is in the shape of a function which has its endpoints at the same height but is otherwise arbitrary. A chain of uniform mass per unit length rests on this surface (from end to end; see Fig. 1.10). Show that the chain will not move.
 Relevant Equations:
 None.
I only need help with how to find the component of gravity along the curve. See image.